1. The roots of the quad. eqn. :       

    (a+b-2c)- (2a-b-c)x +(a-2b+c)=0

a)a+b+c and a-b+c                  b)1/2 and a-2b+c                c)a-2b+c and             d)none    

2.The set of real 'x' satisfying    is:

 a) [0,2]         b) [-1,3]         c) [-1,1]           d)[1,3]

ans of 2nd ques is option B [-1,3]

-1 <   -1  <  1

0 <   <  2

-2 <  x - 1 < 2

-1 <  x <  3

It is clearly visible that x=1 satisfies the eqn. so it is one root also

for ax^2+ bx+c =0

if one root is 1 the other is c/a as product of roots is c/a.... so u can see other root

ANs D

the first qn has already been answered by me at

http://www.goiit.com/posts/list/algebra-quadratic-problems-73322.htm

see by time who answered it first